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Typus
Verschleierung
Bearbeiter
Graf Isolan
Gesichtet
Yes.png
Untersuchte Arbeit:
Seite: 5, Zeilen: 22-35
Quelle: Pryl 2005
Seite(n): 2, Zeilen: 31-42
In the following, a two-phase material consisting of an elastic solid skeleton and an interstitial fluid is assumed. Furthermore, the assumption of full saturation is made, e.g., the whole pore space is filled with the fluid. The balance laws and the constitutive equations contains in the most general case the variables of solid and fluid displacements and pore pressure. In most cases, these variables are modified introducing the seepage velocity, describing the fluid movement relative to the solid frame, instead of the absolute fluid displacements. The governing equations are then usually formulated using one of two different sets of unknowns: either the pore pressure is eliminated and the solid displacements and seepage velocity remain, denoted as usi-ufi-formulation in the following, or the seepage velocity is eliminated, and the solid displacements and pore pressure are selected as unknowns. Bonnet [22] has shown that the latter choice is sufficient to describe a poroelastic continuum. This reduction of unknowns, denoted as usi-p-formulation, is only possible in a transformed domain, e.g., in the Laplace domain. Zienkiewicz [187] introduced a simplified poroelastic model to make a usi-p-formulation in time domain possible.

[22] Bonnet, G.: Basic Singular Solutions for a Poroelastic Medium in the Dynamic Range. Journal of the Acoustical Society of America, 82(5), 1758–1762, 1987.

[187] Zienkiewiecz, O.C.; Chang, C.; Bettess, P.: Drained undrained consolidating and dynamic behavior [sic] assumptions in soils. Géotechnique, 30(4), 385 – 395, 1980.

In the following, a two-phase material consisting of an elastic solid skeleton and an interstitial fluid is assumed. Furthermore, the assumption of full saturation is made, e.g., the whole pore space is filled with the fluid. The balance laws and the constitutive equations contain the variables solid and fluid displacements and pore pressure. In most cases these variables are modified, introducing the seepage velocity, describing the fluid movement relative to the solid frame, instead of the absolute fluid displacements. The governing equations are then usually formulated using one of two different sets of unknowns: either the pore pressure is eliminated and the solid displacements and seepage velocity remain, which is denoted as usi-ufi-formulation in the following, or the seepage velocity is eliminated, and the solid displacements and pore pressure are selected as unknowns. Bonnet [14] has shown that the latter choice is sufficient to describe a poroelastic continuum. This reduction of unknowns, denoted as usi-p-formulation, is only possible in a transformed domain, e.g., in the Laplace domain. Zienkiewicz [99] introduced a simplified poroelastic model to make a usi-p-formulation in time domain possible.

[14] Bonnet, G.: Basic Singular Solutions for a Poroelastic Medium in the Dynamic Range. Journal of the Acoustical Society of America, 82(5), 1758–1762, 1987.

[99] Zienkiewicz, O.C.; Chang, C.T.; Bettess, P.: Drained, Undrained, Consolidating and Dynamic Behaviour Assumptions in soils. Geophysics [sic], 30(4), 385–395, 1980.

Anmerkungen

Nearly identical with nothing having been marked as a citation.

Sichter
(Graf Isolan) Schumann

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